Greatest Common Factor of 3676 and 3684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3676, 3684 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3676 and 3684 is 4.

GCF(3676,3684) = 4

GCF of 3676 and 3684

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3676 and 3684

GCF of 3676 and 3684 is 4

Prime Factorization of 3676


2 3676
2 1838
919 919
1

Prime factors of 3676 are 2,919. Prime factorization of 3676 in exponential form is:

3676 = 22×9191

Prime Factorization of 3684


2 3684
2 1842
3 921
307 307
1

Prime factors of 3684 are 2,3,307. Prime factorization of 3684 in exponential form is:

3684 = 22×31×3071

∴ So by taking common prime factors GCF of 3676 and 3684 is 4

Greatest Common Factor of 3676 and 3684 by matching factors method

Factors of 3676

List of positive integer factors of 3676 that divides 3676 without a remainder.

1,2,4,919,1838,3676

Factors of 3684

List of positive integer factors of 3684 that divides 3684 without a remainder.

1,2,3,4,6,12,307,614,921,1228,1842,3684

Greatest Common Factor

We found the factors and prime factorization of 3676 and 3684. The biggest common factor number is the GCF number.
So the greatest common factor 3676 and 3684 is 4.

Also check out the Least Common Multiple of 3676 and 3684

Properties of GCF 3676 and 3684

(i) The GCF of 3676 and 3684 is associative

GCF of 3676 and 3684 = GCF of 3684 and 3676

Related Greatest Common Factor of 3676

Related Greatest Common Factor of 3684

Frequently Asked Questions on GCF of 3676 and 3684

1. What is the GCF of 3676 and 3684?

Answer: GCF of 3676 and 3684 is 4.

2. What are the Factors of 3676?

Answer: Factors of 3676 are 1, 2, 4, 919, 1838, 3676. There are 6 integers that are factors of 3676. The greatest factor of 3676 is 3676.

3. What are the Factors of 3684?

Answer: Factors of 3684 are 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684. There are 12 integers that are factors of 3684. The greatest factor of 3684 is 3684.

4. How to Find the GCF of 3676 and 3684?

Answer:

Greatest Common Factor of 3676 and 3684 = 4

Step 1: Find the prime factorization of 3676

3676 = 2 x 2 x 919

Step 2: Find the prime factorization of 3684

3684 = 2 x 2 x 3 x 307

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3676 and 3684 is 4